Solve for x:  log x + 2 log 2 = log 20 - log 10  and show all workings.

Q: 6. Solve logsx - log5 (x-16) = 1 for x.

A:

Q: 3. For the curve y = x³ + 2x² + 4,Solve the equation of the normal line at point (-3,-5)

A:

Q: 6. Sketch and label the graph of a function that describes the given situation. Pick variables for…

A: a. In this case, the population size of warthogs cannot go above 512 warthogs, so, the given…

Q: (D³ – D² – 6D)y = 12x − 2 + 5e³x – 18 sin(3x) - -

A:

Q: find the values of k for which the matrix A is invertible

A:

Q: Question 12 of 12 View Policies Current Attempt in Progress Find dy dx dy dx Enter the exact answer.…

A:

Q: Find a value of h for which y 3.0 2.5 2.0 1.5 1.0- 0.5 0.5 ƒ(2 + h) − ƒ(2) h 1.0 1.5 = 0. f(x) 2.0…

A:

Q: The equation of motion of a particle is s= t3 - 27t, where s is in meters and it is in seconds.…

A:

Q: Fill in the blank for the following statements (choose FIVE only) 1- The rectangular…

A: all six are solved

Q: EXAMPLES 10. Find the DE of the family of SL with algebraic sum of intercepts fixed as

A:

Q: Let x represent the units of labor and y the capital invested in a manufacturing process. When…

A: The solution consists of differentiation of equation with respect to x

Q: е 3. S d 5√x é √x eve

A:

Q: evaluate the determinant, given that a b de c e f h i 9 '|| -6

A: We know that if all element of any row is added to the corresponding element of any other row then…

Q: 2.) If x= 3, lim In(x+h)-In(x)

A:

Q: 6S-4 Q4/A: 1- L-1. 52-48+16 B: Fit a second order polynomials to the data in the following: X 5 6 Y…

A:

Q: !

A: To calculate the work done by the field to move from A(0,-π,1) to B(2,π,2). Vectorial field:…

Q: A truck starts off 180 miles directly east from the city of Hartville. It travels due south at a…

A:

Q: An invoice for $120,700 dated May 26, 2014 for a shipment of furniture has payment terms 1.5/15,…

A: Concept Used: 1.515EOM = There will be 1.5% discount on invoice amount if the payment is made by the…

Q: Evaluate lim X-2 4x² - 8x x-2

A: Topic = Limits

Q: Evaluate_lim_ (√9x² − 5€ +1+3″).

A:

Q: [200] 020 00 02

A:

Q: 2-L-¹ [ 6 2S-8 - 3-2S 95²-16 + 8+6S 4 S²+9

A:

Q: [2 13 1 01 1 1 10 02 To 21 0123 10

A:

Q: lim X118 30x - 7 √√36x² + 7x V

A: limx→-∞30x-736x2+7x =limx→-∞30x36x2+7x-limx→-∞736x2+7x =limx→-∞30x|x|36+7x-limx→-∞7|x|36+7x…

Q: dy dx = 4x+xy² y-x²y

A: Topic:- differential equations

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A:

Q: Find the following limit: Submit Question lim 2-2 Answer: (The answer will be an integer or whole…

A: Given, limx→2x3+3x2-15x+10x-2

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

A:

Q: хр (DZUIS-(x87 sex =h П ћp pul

A: We can find the required answer in the below steps.

Q: Suppose a is a positive real number. Determine the area of the triangle enclosed by the lines y=0,…

A:

Q: The graph below is of a function f '(x) for some function f(x) with domain (-∞0, 00). 11

A: The given graph representing function f'(x) for some function f(x) with domain -∞,∞ f(0)=8 To find…

Q: Please answer question 72

A: We have to find the area of the shaded region.

Q: Decompose 2x + 5 2x2 - 11x +5

A: A detailed solution is given below.

Q: For the function: f(x) = 2x² - 2x - 1, find and simplify f(x) = f(a) x - a a. b. f(x +h)-f(x) h Get…

A:

Q: A learn.vccs.edu/courses/411213/quizzes/3369543/take Two sides and an angle are given. Determine…

A: Concept used: No solution: When the sine of the unknown angle opposite the other given side exceeds…

Q: Evaluate 1 lim x+h h 1 X

A:

Q: Find k so that the function f(x)= 2x+5 if x ≤2 kx +1 if x > 2 can be defined so that it will be a…

A: Given function, f(x)=2x+5               if x≤2kx+1                if x>2

Q: Solve the following differential equation by Laplace: ² - 4y = 16 t -6, y(0) = 3 . dx

A:

Q: Problem 2 A Classify the critical points of the following function (in other words say if they are…

A: The given function is: f(x,y)=x2+y2-2y

Q: Evaluate lim 3sin4xsin2x म cos2x+1 2

A: This question can be solved by the concept of removing the indeterminate forms in limit

Q: B: Evaluate the following: r (4)r (²) 1

A:

Q: f(x) = 4x² x²+49

A: Locate the possible asymptotes and intercept/sfx=4x2x2+49

Q: 3. By y = definition, find the derivative 2x 3x + 4

A:

Q: Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 y 1 234 567 89

A:

Q: 1 en (enx)+ dx (enx)?

A: To evaluate: ∫lnln x+1ln x2dx

Q: f(x)-f(a) x-a a. Use the definition mtan = lim x→a a. mtan to find the slope of the line tangent to…

A:

Q: Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) = y(0)…

A: For a second-order differential function, the characteristic equation will have two roots D1 and D2…

Q: Find the length of the curve. 8(1) - (48, 1², 12³). r(t) = Osts 1

A:

Q: 2. Se* sin(e) dx

A:

Q: Sketch the level curves of g(x, y) 1- y² x² where k € {-1,0, 1}

A: